MORSES OSCILLATION THEOREM FOR A DEGENERATE CASE

Authors
BELOV SY BELOV VY WILLIAMS GH
Citation
Sy. Belov et al., MORSES OSCILLATION THEOREM FOR A DEGENERATE CASE, Journal of mathematical analysis and applications, 209(1), 1997, pp. 81-93
Citations number
31
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
209
Issue
1
Year of publication
1997
Pages
81 - 93
Database
ISI
SICI code
0022-247X(1997)209:1<81:MOTFAD>2.0.ZU;2-N
Abstract
We consider the eigenvalue problem for a selfadjoint system of linear ordinary differential equations with general mixed boundary conditions which allow a combination of terms involving boundary values from the left and right end points. We obtain a precise formula for the Morse index of the problem which is valid even in the degenerate case. (C) 1 997 Academic Press.